Subgroups — #36763237

Order 22784.

2142 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#26028545	C₂	1	1	yes	maximal, characteristic, complemented
2	#26028535	C₂	1	1	yes	maximal, characteristic, complemented
3	#26028196	C₂	1	1	yes	maximal, characteristic, complemented
4	#26028110	C₂	1	1	yes	maximal, characteristic, complemented
5	#26028004	C₂	1	1	yes	maximal, characteristic, complemented
6	#26027948	C₂	1	1	yes	maximal, characteristic, complemented
7	#26027899	C₂	1	1	yes	maximal, characteristic, complemented
8	#26027877	C₂	1	1	yes	maximal, characteristic, complemented
9	#26027511	C₂	1	1	yes	maximal, characteristic, complemented
10	#26027488	C₂	1	1	yes	maximal, characteristic, complemented
11	#26027046	C₂	1	1	yes	maximal, characteristic, complemented
12	#26026992	C₂	1	1	yes	maximal, characteristic, complemented
13	#26026976	C₂	1	1	yes	maximal, characteristic, complemented
14	#26026975	C₂	1	1	yes	maximal, characteristic, complemented
15	#26026787	C₂	1	1	yes	maximal, characteristic, complemented
16	#26026658	C₂	1	1	yes	maximal, characteristic, complemented
17	#26026618	C₂	1	1	yes	maximal, characteristic, complemented
18	#26026210	C₂	1	1	yes	maximal, characteristic, complemented
19	#26026184	C₂	1	1	yes	maximal, characteristic, complemented
20	#26024516	C₂	1	1	yes	maximal, characteristic, complemented
21	#26024371	C₂	1	1	yes	maximal, characteristic, complemented
22	#26023992	C₂	1	1	yes	maximal, characteristic, complemented
23	#26023927	C₂	1	1	yes	maximal, characteristic, complemented
24	#26023863	C₂	1	1	yes	maximal, characteristic, complemented
25	#26023793	C₂	1	1	yes	maximal, characteristic, complemented
26	#26023636	C₂	1	1	yes	maximal, characteristic, complemented
27	#26023572	C₂	1	1	yes	maximal, characteristic, complemented
28	#26022925	C₂	1	1	yes	maximal, characteristic, complemented
29	#26022843	C₂	1	1	yes	maximal, characteristic, complemented
30	#385×D₈₉	C₂	1	1	yes	maximal, characteristic, complemented
31	C₈₉×#2745	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#13083575	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₈₉	C₂²	1	1	yes	characteristic
34	C₂×#15668007	C₂²	1	1	yes	characteristic, complemented
35	C₂×#15667998	C₂²	1	1	yes	characteristic
36	C₂×#15667997	C₂²	1	1	yes	characteristic
37	C₂×#15667997	C₂²	1	1	yes	characteristic, complemented
38	C₂×#15667996	C₂²	1	1	yes	characteristic
39	C₂×#15667995	C₂²	1	1	yes	characteristic
40	C₂×#15667990	C₂²	1	1	yes	characteristic
41	C₂×#15667987	C₂²	1	1	yes	characteristic
42	C₂×#15667987	C₂²	1	1	yes	characteristic
43	C₂×#15667987	C₂²	1	1	yes	characteristic
44	C₂×#15667986	C₂²	1	1	yes	characteristic
45	C₂×#15667985	C₂²	1	1	yes	characteristic
46	C₂×#15667982	C₂²	1	1	yes	characteristic
47	C₂×#15667982	C₂²	1	1	yes	characteristic
48	C₂×#15667982	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₃₅₆	C₂²	1	1	yes	characteristic
50	C₂×#15667969	C₂²	1	1	yes	characteristic
51	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
52	C₂×C₄⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
53	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
54	C₂×C₂²⋊C₄×D₈₉	C₂²	1	1	yes	characteristic
55	#19151540	C₂²	1	1	yes	characteristic, complemented
56	#19151540	C₂²	1	1	yes	characteristic, complemented
57	#19151540	C₂²	1	1	yes	characteristic, complemented
58	#19151540	C₂²	1	1	yes	characteristic, complemented
59	#19151539	C₂²	1	1	yes	characteristic, complemented
60	#19151536	C₂²	1	1	yes	characteristic, complemented
61	#19151535	C₂²	1	1	yes	characteristic, complemented
62	#19151531	C₂²	1	1	yes	characteristic, complemented
63	#19151529	C₂²	1	1	yes	characteristic, complemented
64	#19151528	C₂²	1	1	yes	characteristic, complemented
65	#19151527	C₂²	1	1	yes	characteristic, complemented
66	#19151527	C₂²	1	1	yes	characteristic, complemented
67	#19151527	C₂²	1	1	yes	characteristic, complemented
68	#19151525	C₂²	1	1	yes	characteristic, complemented
69	#19151525	C₂²	1	1	yes	characteristic, complemented
70	#19151525	C₂²	1	1	yes	characteristic, complemented
71	#19151525	C₂²	1	1	yes	characteristic, complemented
72	#19151522	C₂²	1	1	yes	characteristic
73	#19151522	C₂²	1	1	yes	characteristic, complemented
74	#19151521	C₂²	1	1	yes	characteristic
75	#19151520	C₂²	1	1	yes	characteristic
76	#19151520	C₂²	1	1	yes	characteristic, complemented
77	#19151519	C₂²	1	1	yes	characteristic, complemented
78	#19151516	C₂²	1	1	yes	characteristic
79	#19151516	C₂²	1	1	yes	characteristic
80	#19151516	C₂²	1	1	yes	characteristic, complemented
81	#19151516	C₂²	1	1	yes	characteristic, complemented
82	#19151515	C₂²	1	1	yes	characteristic, complemented
83	#19151515	C₂²	1	1	yes	characteristic, complemented
84	#19151514	C₂²	1	1	yes	characteristic
85	#19151514	C₂²	1	1	yes	characteristic
86	#19151513	C₂²	1	1	yes	characteristic
87	#19151513	C₂²	1	1	yes	characteristic
88	#19151511	C₂²	1	1	yes	characteristic
89	#19151511	C₂²	1	1	yes	characteristic, complemented
90	#19151511	C₂²	1	1	yes	characteristic, complemented
91	#19151509	C₂²	1	1	yes	characteristic
92	#19151509	C₂²	1	1	yes	characteristic, complemented
93	#19151508	C₂²	1	1	yes	characteristic
94	#19151508	C₂²	1	1	yes	characteristic
95	#19151508	C₂²	1	1	yes	characteristic, complemented
96	#19151507	C₂²	1	1	yes	characteristic
97	#19151505	C₂²	1	1	yes	characteristic, complemented
98	#19151504	C₂²	1	1	yes	characteristic, complemented
99	#19151500	C₂²	1	1	yes	characteristic
100	#19151500	C₂²	1	1	yes	characteristic
101	#19151500	C₂²	1	1	yes	characteristic, complemented
102	#19151499	C₂²	1	1	yes	characteristic
103	#19151499	C₂²	1	1	yes	characteristic, complemented
104	#19151498	C₂²	1	1	yes	characteristic
105	#19151497	C₂²	1	1	yes	characteristic, complemented
106	#19151495	C₂²	1	1	yes	characteristic, complemented
107	#19151495	C₂²	1	1	yes	characteristic, complemented
108	#19151492	C₂²	1	1	yes	characteristic
109	#19151490	C₂²	1	1	yes	characteristic, complemented
110	#19151490	C₂²	1	1	yes	characteristic, complemented
111	#19151489	C₂²	1	1	yes	characteristic, complemented
112	#19151488	C₂²	1	1	yes	characteristic
113	#19151487	C₂²	1	1	yes	characteristic
114	#19151487	C₂²	1	1	yes	characteristic, complemented
115	#19151485	C₂²	1	1	yes	characteristic, complemented
116	#19151485	C₂²	1	1	yes	characteristic, complemented
117	#19151482	C₂²	1	1	yes	characteristic, complemented
118	#19151481	C₂²	1	1	yes	characteristic, complemented
119	#19151476	C₂²	1	1	yes	characteristic
120	#19151476	C₂²	1	1	yes	characteristic
121	#19151476	C₂²	1	1	yes	characteristic
122	#19151476	C₂²	1	1	yes	characteristic
123	#19151476	C₂²	1	1	yes	characteristic
124	#19151476	C₂²	1	1	yes	characteristic
125	#19151476	C₂²	1	1	yes	characteristic
126	#19151476	C₂²	1	1	yes	characteristic
127	#19151476	C₂²	1	1	yes	characteristic
128	#19151476	C₂²	1	1	yes	characteristic
129	#19151476	C₂²	1	1	yes	characteristic
130	#19151476	C₂²	1	1	yes	characteristic
131	#19151476	C₂²	1	1	yes	characteristic
132	#19151476	C₂²	1	1	yes	characteristic
133	#19151476	C₂²	1	1	yes	characteristic
134	#19151476	C₂²	1	1	yes	characteristic
135	#19151476	C₂²	1	1	yes	characteristic
136	#19151476	C₂²	1	1	yes	characteristic, complemented
137	#19151476	C₂²	1	1	yes	characteristic, complemented
138	#19151475	C₂²	1	1	yes	characteristic
139	#19151475	C₂²	1	1	yes	characteristic
140	#19151474	C₂²	1	1	yes	characteristic
141	#19151474	C₂²	1	1	yes	characteristic
142	#19151473	C₂²	1	1	yes	characteristic
143	#19151472	C₂²	1	1	yes	characteristic
144	#19151472	C₂²	1	1	yes	characteristic
145	#19151472	C₂²	1	1	yes	characteristic
146	#19151472	C₂²	1	1	yes	characteristic
147	#19151472	C₂²	1	1	yes	characteristic
148	#19151472	C₂²	1	1	yes	characteristic
149	#19151472	C₂²	1	1	yes	characteristic
150	#19151472	C₂²	1	1	yes	characteristic
151	#19151472	C₂²	1	1	yes	characteristic, complemented
152	#19151472	C₂²	1	1	yes	characteristic, complemented
153	#19151471	C₂²	1	1	yes	characteristic
154	#19151470	C₂²	1	1	yes	characteristic
155	#19151469	C₂²	1	1	yes	characteristic
156	#19151469	C₂²	1	1	yes	characteristic
157	#19151469	C₂²	1	1	yes	characteristic, complemented
158	#19151469	C₂²	1	1	yes	characteristic, complemented
159	#19151469	C₂²	1	1	yes	characteristic, complemented
160	#19151460	C₂²	1	1	yes	characteristic
161	#19151459	C₂²	1	1	yes	characteristic
162	#19151457	C₂²	1	1	yes	characteristic, complemented
163	#19151457	C₂²	1	1	yes	characteristic, complemented
164	#19151457	C₂²	1	1	yes	characteristic, complemented
165	#19151457	C₂²	1	1	yes	characteristic, complemented
166	#19151455	C₂²	1	1	yes	characteristic
167	#19151455	C₂²	1	1	yes	characteristic
168	#19151453	C₂²	1	1	yes	characteristic
169	#19151445	C₂²	1	1	yes	characteristic
170	#95×D₈₉	C₂²	1	1	yes	characteristic
171	#95×D₈₉	C₂²	1	1	yes	characteristic
172	#401×C₈₉	C₂²	1	1	yes	characteristic, complemented
173	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
174	#400×C₈₉	C₂²	1	1	yes	characteristic, complemented
175	#397×C₈₉	C₂²	1	1	yes	characteristic
176	#395×C₈₉	C₂²	1	1	yes	characteristic, complemented
177	#393×C₈₉	C₂²	1	1	yes	characteristic
178	#391×C₈₉	C₂²	1	1	yes	characteristic, complemented
179	#388×C₈₉	C₂²	1	1	yes	characteristic
180	#388×C₈₉	C₂²	1	1	yes	characteristic
181	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
182	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
183	#387×C₈₉	C₂²	1	1	yes	characteristic, complemented
184	#385×C₈₉	C₂²	1	1	yes	characteristic
185	#381×C₈₉	C₂²	1	1	yes	characteristic
186	#380×C₈₉	C₂²	1	1	yes	characteristic
187	C₂⁴×D₈₉	C₂³	1	1	yes	characteristic
188	C₂×#13083575	—	2	4	no	—
189	C₂×#13083575	—	4	2	no	—
190	C₂×#13083575	—	4	2	no	—
191	C₂²×Dic₁₇₈	C₂³	1	1	yes	characteristic
192	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
193	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
194	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
195	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
196	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
197	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
198	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
199	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
200	C₂²×D₃₅₆	C₂³	1	1	yes	characteristic
201	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
202	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
203	C₂²×C₂²⋊D₈₉	C₂³	1	1	yes	characteristic
204	C₂³×Dic₈₉	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₈₉	—	4	2	no	—
206	C₂²×C₄×D₈₉	—	4	2	no	—
207	C₂²×C₄×D₈₉	—	4	2	no	—
208	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₈₉	C₂³	1	1	yes	characteristic
219	#15668007	—	4	2	no	—
220	#15667998	—	4	2	no	—
221	#15667997	—	2	4	no	—
222	#15667997	—	4	2	no	—
223	#15667996	—	4	2	no	—
224	#15667995	—	4	2	no	—
225	#15667990	—	4	2	no	—
226	#15667987	—	4	2	no	—
227	#15667987	—	4	2	no	—
228	#15667987	—	4	2	no	—
229	#15667986	—	4	2	no	—
230	#15667985	—	4	2	no	—
231	#15667982	—	4	2	no	—
232	#15667982	—	4	2	no	—
233	#15667982	—	4	2	no	—
234	C₄×D₃₅₆	—	4	2	no	—
235	#15667969	—	4	2	no	—
236	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊Dic₈₉	C₂³	1	1	yes	characteristic
244	C₂×#13083553	C₂³	1	1	yes	characteristic
245	C₂×#13083553	C₂³	1	1	yes	characteristic
246	C₂×#13083553	C₂³	1	1	yes	characteristic
247	C₂×#13083553	C₂³	1	1	yes	characteristic
248	C₂×#13083553	C₂³	1	1	yes	characteristic
249	C₂×#13083553	C₂³	1	1	yes	characteristic
250	C₂×#13083553	C₂³	1	1	yes	characteristic
251	C₂×#13083553	C₂³	1	1	yes	characteristic
252	C₂×#13083553	C₂³	1	1	yes	characteristic
253	C₂×#13083553	C₂³	1	1	yes	characteristic
254	C₂×#13083553	C₂³	1	1	yes	characteristic
255	C₂×#13083553	C₂³	1	1	yes	characteristic
256	C₂×#13083553	C₂³	1	1	yes	characteristic
257	C₄⋊C₄×D₈₉	—	4	2	no	—
258	C₄⋊C₄×D₈₉	—	4	2	no	—
259	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₈₉	C₂³	1	1	yes	characteristic
262	C₂×#13083551	C₂³	1	1	yes	characteristic
263	C₂×#13083551	C₂³	1	1	yes	characteristic
264	C₂×#13083551	C₂³	1	1	yes	characteristic
265	C₂×#13083551	C₂³	1	1	yes	characteristic
266	C₂×#13083551	C₂³	1	1	yes	characteristic
267	C₂×#13083551	C₂³	1	1	yes	characteristic
268	C₂×#13083551	C₂³	1	1	yes	characteristic
269	C₂×#13083551	C₂³	1	1	yes	characteristic
270	C₂×#13083551	C₂³	1	1	yes	characteristic
271	C₂×#13083551	C₂³	1	1	yes	characteristic
272	C₂×#13083551	C₂³	1	1	yes	characteristic
273	C₂×#13083551	C₂³	1	1	yes	characteristic
274	C₂×#13083551	C₂³	1	1	yes	characteristic
275	C₂×#13083551	C₂³	1	1	yes	characteristic
276	C₂×#13083551	C₂³	1	1	yes	characteristic
277	C₂×#13083551	C₂³	1	1	yes	characteristic
278	C₂×#13083551	C₂³	1	1	yes	characteristic
279	C₂×#13083551	C₂³	1	1	yes	characteristic
280	C₂×#13083551	C₂³	1	1	yes	characteristic
281	C₂×#13083551	C₂³	1	1	yes	characteristic
282	C₂×#13083551	C₂³	1	1	yes	characteristic
283	C₂×#13083551	C₂³	1	1	yes	characteristic
284	C₂×#13083551	C₂³	1	1	yes	characteristic
285	C₂×#13083551	C₂³	1	1	yes	characteristic
286	C₂×#13083551	C₂³	1	1	yes	characteristic
287	C₂×#13083551	C₂³	1	1	yes	characteristic
288	C₂×#13083551	C₂³	1	1	yes	characteristic
289	C₂×#13083551	C₂³	1	1	yes	characteristic
290	C₂×#13083551	C₂³	1	1	yes	characteristic
291	C₂×#13083551	C₂³	1	1	yes	characteristic
292	C₂×#13083551	C₂³	1	1	yes	characteristic
293	C₂×#13083551	C₂³	1	1	yes	characteristic
294	C₂×#13083551	C₂³	1	1	yes	characteristic
295	C₂×#13083551	C₂³	1	1	yes	characteristic
296	C₂×#13083551	C₂³	1	1	yes	characteristic
297	C₂×#13083551	C₂³	1	1	yes	characteristic
298	C₂×#13083551	C₂³	1	1	yes	characteristic
299	C₂×#13083551	C₂³	1	1	yes	characteristic
300	C₂×#13083551	C₂³	1	1	yes	characteristic
301	C₂×#13083551	C₂³	1	1	yes	characteristic
302	C₂×#13083551	C₂³	1	1	yes	characteristic
303	C₂²⋊C₄×D₈₉	—	2	4	no	—
304	C₂²⋊C₄×D₈₉	—	4	2	no	—
305	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₈₉	C₂³	1	1	yes	characteristic
308	#15667919	C₂³	1	1	yes	characteristic
309	#15667919	C₂³	1	1	yes	characteristic
310	#15667919	C₂³	1	1	yes	characteristic
311	#15667919	C₂³	1	1	yes	characteristic
312	#15667919	C₂³	1	1	yes	characteristic
313	#15667919	C₂³	1	1	yes	characteristic
314	#15667919	C₂³	1	1	yes	characteristic
315	#15667919	C₂³	1	1	yes	characteristic
316	#15667919	C₂³	1	1	yes	characteristic
317	#15667919	C₂³	1	1	yes	characteristic
318	#15667919	C₂³	1	1	yes	characteristic
319	#15667919	C₂³	1	1	yes	characteristic
320	#15667919	C₂³	1	1	yes	characteristic
321	#15667919	C₂³	1	1	yes	characteristic
322	#15667919	C₂³	1	1	yes	characteristic
323	#15667919	C₂³	1	1	yes	characteristic
324	#15667919	C₂³	1	1	yes	characteristic
325	#15667919	C₂³	1	1	yes	characteristic
326	#15667919	C₂³	1	1	yes	characteristic
327	#15667919	C₂³	1	1	yes	characteristic
328	#15667919	C₂³	1	1	yes	characteristic
329	#15667919	C₂³	1	1	yes	characteristic
330	#15667919	C₂³	1	1	yes	characteristic
331	#15667919	C₂³	1	1	yes	characteristic
332	#15667919	C₂³	1	1	yes	characteristic
333	#15667919	C₂³	1	1	yes	characteristic
334	C₂²×Q₈×C₈₉	C₂³	1	1	yes	characteristic
335	C₂³×C₄×C₈₉	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₈₉	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₈₉	C₂³	1	1	yes	characteristic
351	#95×C₈₉	C₂³	1	1	yes	characteristic
352	#95×C₈₉	C₂³	1	1	yes	characteristic
353	#95×C₈₉	C₂³	1	1	yes	characteristic
354	#95×C₈₉	C₂³	1	1	yes	characteristic
355	#95×C₈₉	C₂³	1	1	yes	characteristic
356	#95×C₈₉	C₂³	1	1	yes	characteristic
357	#95×C₈₉	C₂³	1	1	yes	characteristic
358	#95×C₈₉	C₂³	1	1	yes	characteristic
359	#95×C₈₉	C₂³	1	1	yes	characteristic
360	#95×C₈₉	C₂³	1	1	yes	characteristic
361	#95×C₈₉	C₂³	1	1	yes	characteristic
362	#95×C₈₉	C₂³	1	1	yes	characteristic
363	#95×C₈₉	C₂³	1	1	yes	characteristic
364	#95×C₈₉	C₂³	1	1	yes	characteristic
365	#95×C₈₉	C₂³	1	1	yes	characteristic
366	#95×C₈₉	C₂³	1	1	yes	characteristic
367	#95×C₈₉	C₂³	1	1	yes	characteristic
368	#95×C₈₉	C₂³	1	1	yes	characteristic
369	C₂³×D₈₉	—	2	2	no	—
370	C₂³×D₈₉	—	2	2	no	—
371	C₂³×D₈₉	—	2	2	no	—
372	C₂³×D₈₉	—	2	2	no	—
373	C₂³×D₈₉	—	2	2	no	—
374	C₂³×D₈₉	—	4	1	no	—
375	C₂³×D₈₉	—	4	1	no	—
376	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
377	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
378	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
379	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
380	C₂³×D₈₉	C₂⁴	1	1	yes	characteristic
381	#13083575	—	4	16	no	—
382	C₂×Dic₁₇₈	—	4	1	no	—
383	C₂×Dic₁₇₈	—	4	1	no	—
384	C₂×Dic₁₇₈	—	4	1	no	—
385	C₂×D₃₅₆	—	2	2	no	—
386	C₂×D₃₅₆	—	2	2	no	—
387	C₂×D₃₅₆	—	2	2	no	—
388	C₂×D₃₅₆	—	2	2	no	—
389	C₂×D₃₅₆	—	2	2	no	—
390	C₂×D₃₅₆	—	2	2	no	—
391	C₂×D₃₅₆	—	2	2	no	—
392	C₂×D₃₅₆	—	2	2	no	—
393	C₂×D₃₅₆	—	2	2	no	—
394	C₂×D₃₅₆	—	2	2	no	—
395	C₂×D₃₅₆	—	2	2	no	—
396	C₂×D₃₅₆	—	2	2	no	—
397	C₂×D₃₅₆	—	2	2	no	—
398	C₂×D₃₅₆	—	2	2	no	—
399	C₂×D₃₅₆	—	4	1	no	—
400	C₂×D₃₅₆	—	4	1	no	—
401	C₂×D₃₅₆	—	4	1	no	—
402	C₂×D₃₅₆	—	4	1	no	—
403	C₂×D₃₅₆	—	4	1	no	—
404	C₂×D₃₅₆	—	4	1	no	—
405	C₂×D₃₅₆	—	4	1	no	—
406	C₂×D₃₅₆	—	4	1	no	—
407	C₂×D₃₅₆	—	4	1	no	—
408	C₂×D₃₅₆	—	4	1	no	—
409	C₂×D₃₅₆	—	4	1	no	—
410	C₂×D₃₅₆	—	4	1	no	—
411	C₂×D₃₅₆	—	4	1	no	—
412	C₂×C₂²⋊D₈₉	—	2	2	no	—
413	C₂×C₂²⋊D₈₉	—	2	2	no	—
414	C₂×C₂²⋊D₈₉	—	2	2	no	—
415	C₂×C₂²⋊D₈₉	—	4	1	no	—
416	C₂×C₂²⋊D₈₉	—	4	1	no	—
417	C₂×C₂²⋊D₈₉	—	4	1	no	—
418	C₂×C₂²⋊D₈₉	—	4	1	no	—
419	C₂×C₂²⋊D₈₉	—	4	1	no	—
420	C₂×C₂²⋊D₈₉	—	4	1	no	—
421	C₂²×Dic₈₉	—	2	2	no	—
422	C₂²×Dic₈₉	—	4	1	no	—
423	C₂²×Dic₈₉	—	4	1	no	—
424	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
426	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₈₉	C₂⁴	1	1	yes	characteristic
435	C₂×C₄×D₈₉	—	2	2	no	—
436	C₂×C₄×D₈₉	—	2	2	no	—
437	C₂×C₄×D₈₉	—	2	2	no	—
438	C₂×C₄×D₈₉	—	2	2	no	—
439	C₂×C₄×D₈₉	—	2	2	no	—
440	C₂×C₄×D₈₉	—	2	2	no	—
441	C₂×C₄×D₈₉	—	2	2	no	—
442	C₂×C₄×D₈₉	—	2	2	no	—
443	C₂×C₄×D₈₉	—	2	2	no	—
444	C₂×C₄×D₈₉	—	2	2	no	—
445	C₂×C₄×D₈₉	—	2	2	no	—
446	C₂×C₄×D₈₉	—	4	1	no	—
447	C₂×C₄×D₈₉	—	4	1	no	—
448	C₂×C₄×D₈₉	—	4	1	no	—
449	C₂×C₄×D₈₉	—	4	1	no	—
450	C₂×C₄×D₈₉	—	4	1	no	—
451	C₂×C₄×D₈₉	—	4	1	no	—
452	C₂×C₄×D₈₉	—	4	1	no	—
453	C₂×C₄×D₈₉	—	4	1	no	—
454	C₂×C₄×D₈₉	—	4	1	no	—
455	C₂×C₄×D₈₉	—	4	1	no	—
456	C₂×C₄×D₈₉	—	4	1	no	—
457	C₂×C₄×D₈₉	—	4	1	no	—
458	C₂×C₄×D₈₉	—	4	1	no	—
459	C₂×C₄×D₈₉	—	4	1	no	—
460	C₂×C₄×D₈₉	—	4	16	no	—
461	C₂×C₄×D₈₉	—	4	1	no	—
462	C₂×C₄×D₈₉	—	4	1	no	—
463	C₂×C₄×D₈₉	—	4	1	no	—
464	C₂×C₄×D₈₉	—	4	1	no	—
465	C₂×C₄×D₈₉	—	4	1	no	—
466	C₂×C₄×D₈₉	—	4	1	no	—
467	C₂×C₄×D₈₉	—	4	1	no	—
468	C₂×C₄×D₈₉	#41	1	4	yes	—
469	C₄⋊Dic₈₉	—	4	1	no	—
470	C₄⋊Dic₈₉	—	4	1	no	—
471	C₄⋊Dic₈₉	—	4	1	no	—
472	C₄⋊Dic₈₉	—	4	1	no	—
473	C₄⋊Dic₈₉	—	4	1	no	—
474	C₄⋊Dic₈₉	—	4	1	no	—
475	C₄⋊Dic₈₉	—	4	1	no	—
476	C₄⋊Dic₈₉	—	4	1	no	—
477	#13083553	—	2	2	no	—
478	#13083553	—	2	2	no	—
479	#13083553	—	2	2	no	—
480	#13083553	—	4	1	no	—
481	#13083553	—	4	1	no	—
482	#13083553	—	4	1	no	—
483	#13083553	—	4	1	no	—
484	#13083553	—	4	1	no	—
485	#13083553	—	4	1	no	—
486	#13083553	—	4	1	no	—
487	#13083553	—	4	1	no	—
488	#13083553	—	4	1	no	—
489	#13083553	—	4	1	no	—
490	C₂²⋊Dic₈₉	—	2	2	no	—
491	C₂²⋊Dic₈₉	—	2	2	no	—
492	C₂²⋊Dic₈₉	—	4	1	no	—
493	#13083551	—	2	2	no	—
494	#13083551	—	2	2	no	—
495	#13083551	—	2	2	no	—
496	#13083551	—	2	2	no	—
497	#13083551	—	2	2	no	—
498	#13083551	—	2	2	no	—
499	#13083551	—	2	2	no	—
500	#13083551	—	2	2	no	—
501	#13083551	—	2	2	no	—
502	#13083551	—	2	2	no	—
503	#13083551	—	2	2	no	—
504	#13083551	—	4	1	no	—
505	#13083551	—	4	1	no	—
506	#13083551	—	4	1	no	—
507	#13083551	—	4	1	no	—
508	#13083551	—	4	1	no	—
509	#13083551	—	4	1	no	—
510	#13083551	—	4	1	no	—
511	#13083551	—	4	1	no	—
512	#13083551	—	4	1	no	—
513	#13083551	—	4	1	no	—
514	#13083551	—	4	1	no	—
515	#13083551	—	4	1	no	—
516	#13083551	—	4	1	no	—
517	#13083551	—	4	1	no	—
518	#13083551	—	4	1	no	—
519	#13083551	—	4	1	no	—
520	#13083551	—	4	1	no	—
521	#13083551	—	4	1	no	—
522	#13083551	—	4	1	no	—
523	#13083551	—	4	1	no	—
524	#13083551	—	4	1	no	—
525	#13083551	—	4	1	no	—
526	#13083551	—	4	1	no	—
527	#13083551	—	4	1	no	—
528	#13083551	—	4	1	no	—
529	#13083551	—	4	1	no	—
530	#13083551	—	4	1	no	—
531	#13083551	—	4	1	no	—
532	#13083551	—	4	1	no	—
533	#13083551	—	4	1	no	—
534	C₄×Dic₈₉	—	4	1	no	—
535	C₄×Dic₈₉	—	4	1	no	—
536	C₄×Dic₈₉	—	4	1	no	—
537	C₂⁴×C₈₉	C₂⁴	1	1	yes	characteristic
538	C₂×Q₈×C₈₉	—	2	2	no	—
539	C₂×Q₈×C₈₉	—	4	1	no	—
540	C₂×Q₈×C₈₉	—	4	1	no	—
541	C₂²×C₄×C₈₉	—	2	2	no	—
542	C₂²×C₄×C₈₉	—	2	2	no	—
543	C₂²×C₄×C₈₉	—	4	1	no	—
544	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
557	C₂²×C₄×C₈₉	C₂⁴	1	1	yes	characteristic
558	C₄⋊C₄×C₈₉	—	2	2	no	—
559	C₄⋊C₄×C₈₉	—	2	2	no	—
560	C₄⋊C₄×C₈₉	—	2	2	no	—
561	C₄⋊C₄×C₈₉	—	4	1	no	—
562	C₄⋊C₄×C₈₉	—	4	1	no	—
563	C₄⋊C₄×C₈₉	—	4	1	no	—
564	C₄⋊C₄×C₈₉	—	4	1	no	—
565	C₂²⋊C₄×C₈₉	—	2	2	no	—
566	C₂²⋊C₄×C₈₉	—	2	2	no	—
567	C₂²⋊C₄×C₈₉	—	2	2	no	—
568	C₂²⋊C₄×C₈₉	—	4	1	no	—
569	C₂²⋊C₄×C₈₉	—	4	1	no	—
570	C₂²⋊C₄×C₈₉	—	4	1	no	—
571	C₄²×C₈₉	—	4	1	no	—
572	C₄²×C₈₉	—	4	1	no	—
573	C₂³×C₈₉	—	2	1	no	—
574	C₂³×C₈₉	—	2	1	no	—
575	C₂³×C₈₉	—	2	1	no	—
576	C₂³×C₈₉	—	2	1	no	—
577	C₂³×C₈₉	—	2	1	no	—
578	C₂³×C₈₉	—	2	1	no	—
579	C₂³×C₈₉	H(5,𝔽₂)	1	2	yes	—
580	C₂³×C₈₉	C₂⁵	1	1	yes	characteristic
581	C₂²×D₈₉	—	2	1	no	—
582	C₂²×D₈₉	—	2	1	no	—
583	C₂²×D₈₉	—	2	1	no	—
584	C₂²×D₈₉	—	2	1	no	—
585	C₂²×D₈₉	—	2	8	no	—
586	C₂²×D₈₉	—	2	1	no	—
587	C₂²×D₈₉	—	2	1	no	—
588	C₂²×D₈₉	—	2	1	no	—
589	C₂²×D₈₉	—	2	1	no	—
590	C₂²×D₈₉	—	2	1	no	—
591	C₂²×D₈₉	—	2	1	no	—
592	C₂²×D₈₉	—	2	1	no	—
593	C₂²×D₈₉	—	2	1	no	—
594	C₂²×D₈₉	—	2	1	no	—
595	C₂²×D₈₉	—	2	1	no	—
596	C₂²×D₈₉	—	2	1	no	—
597	C₂²×D₈₉	—	2	1	no	—
598	C₂²×D₈₉	—	2	1	no	—
599	C₂²×D₈₉	—	2	1	no	—
600	C₂²×D₈₉	—	2	1	no	—
601	C₂²×D₈₉	—	2	1	no	—
602	C₂²×D₈₉	—	2	1	no	—
603	C₂²×D₈₉	—	2	1	no	—
604	C₂²×D₈₉	—	2	1	no	—
605	C₂²×D₈₉	—	2	1	no	—
606	C₂²×D₈₉	—	2	1	no	—
607	C₂²×D₈₉	—	2	1	no	—
608	C₂²×D₈₉	—	2	1	no	—
609	C₂²×D₈₉	—	2	1	no	—
610	C₂²×D₈₉	—	2	1	no	—
611	C₂²×D₈₉	—	2	1	no	—
612	C₂²×D₈₉	—	2	1	no	—
613	C₂²×D₈₉	—	4	4	no	—
614	C₂²×D₈₉	—	4	4	no	—
615	C₂²×D₈₉	—	4	4	no	—
616	C₂²×D₈₉	—	4	4	no	—
617	C₂²×D₈₉	—	4	4	no	—
618	C₂²×D₈₉	—	4	4	no	—
619	C₂²×D₈₉	C₂×#41	1	2	yes	—
620	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
621	C₂²×D₈₉	H(5,𝔽₂)	1	2	yes	—
622	C₂²×D₈₉	2₋¹⁺⁴	1	2	yes	—
623	Q₈×C₈₉	—	4	4	no	—
624	C₂×C₄×C₈₉	—	2	1	no	—
625	C₂×C₄×C₈₉	—	2	1	no	—
626	C₂×C₄×C₈₉	—	2	1	no	—
627	C₂×C₄×C₈₉	—	2	1	no	—
628	C₂×C₄×C₈₉	—	2	1	no	—
629	C₂×C₄×C₈₉	—	2	1	no	—
630	C₂×C₄×C₈₉	—	2	1	no	—
631	C₂×C₄×C₈₉	—	2	1	no	—
632	C₂×C₄×C₈₉	—	2	1	no	—
633	C₂×C₄×C₈₉	—	2	1	no	—
634	C₂×C₄×C₈₉	—	2	1	no	—
635	C₂×C₄×C₈₉	—	2	1	no	—
636	C₂×C₄×C₈₉	—	2	1	no	—
637	C₂×C₄×C₈₉	—	2	1	no	—
638	C₂×C₄×C₈₉	—	2	1	no	—
639	C₂×C₄×C₈₉	—	2	1	no	—
640	C₂×C₄×C₈₉	—	2	1	no	—
641	C₂×C₄×C₈₉	—	2	1	no	—
642	C₂×C₄×C₈₉	—	2	1	no	—
643	C₂×C₄×C₈₉	—	2	1	no	—
644	C₂×C₄×C₈₉	—	2	1	no	—
645	C₂×C₄×C₈₉	—	2	1	no	—
646	C₂×C₄×C₈₉	—	2	1	no	—
647	C₂×C₄×C₈₉	—	2	1	no	—
648	C₂×C₄×C₈₉	—	2	1	no	—
649	C₂×C₄×C₈₉	—	2	1	no	—
650	C₂×C₄×C₈₉	—	2	1	no	—
651	C₂×C₄×C₈₉	—	2	1	no	—
652	C₂×C₄×C₈₉	—	2	1	no	—
653	C₂×C₄×C₈₉	—	2	1	no	—
654	C₂×C₄×C₈₉	—	2	1	no	—
655	C₂×C₄×C₈₉	—	2	1	no	—
656	C₂×C₄×C₈₉	—	2	1	no	—
657	C₂×C₄×C₈₉	—	2	1	no	—
658	C₂×C₄×C₈₉	—	2	1	no	—
659	C₂×C₄×C₈₉	—	2	1	no	—
660	C₂×C₄×C₈₉	—	2	1	no	—
661	C₂×C₄×C₈₉	—	2	1	no	—
662	C₂×C₄×C₈₉	—	2	1	no	—
663	C₂×C₄×C₈₉	—	2	1	no	—
664	C₂×C₄×C₈₉	—	4	4	no	—
665	C₂×C₄×C₈₉	C₂×#41	1	2	yes	—
666	C₂×C₄×C₈₉	H(5,𝔽₂)	1	2	yes	—
667	C₂²⋊D₈₉	—	8	2	no	—
668	C₂²⋊D₈₉	—	8	2	no	—
669	C₂²⋊D₈₉	—	8	2	no	—
670	C₂×Dic₈₉	—	2	1	no	—
671	C₂×Dic₈₉	—	2	1	no	—
672	C₂×Dic₈₉	—	2	1	no	—
673	C₂×Dic₈₉	—	2	1	no	—
674	C₂×Dic₈₉	—	2	1	no	—
675	C₂×Dic₈₉	—	2	1	no	—
676	C₂×Dic₈₉	—	2	1	no	—
677	C₂×Dic₈₉	—	2	1	no	—
678	C₂×Dic₈₉	—	2	1	no	—
679	C₂×Dic₈₉	—	2	1	no	—
680	C₂×Dic₈₉	—	2	1	no	—
681	C₂×Dic₈₉	—	2	1	no	—
682	C₂×Dic₈₉	—	2	1	no	—
683	C₂×Dic₈₉	—	2	1	no	—
684	C₂×Dic₈₉	—	2	1	no	—
685	C₂×Dic₈₉	—	2	1	no	—
686	C₂×Dic₈₉	—	2	1	no	—
687	C₂×Dic₈₉	—	2	1	no	—
688	C₂×Dic₈₉	—	2	1	no	—
689	C₂×Dic₈₉	—	2	1	no	—
690	C₂×Dic₈₉	—	2	1	no	—
691	C₂×Dic₈₉	—	2	1	no	—
692	C₂×Dic₈₉	—	2	1	no	—
693	C₂×Dic₈₉	—	2	1	no	—
694	C₂×Dic₈₉	—	2	1	no	—
695	C₂×Dic₈₉	—	2	1	no	—
696	C₂×Dic₈₉	—	2	1	no	—
697	C₂×Dic₈₉	—	2	1	no	—
698	C₂×Dic₈₉	—	2	1	no	—
699	C₂×Dic₈₉	—	2	1	no	—
700	C₂×Dic₈₉	—	2	1	no	—
701	C₂×Dic₈₉	—	2	1	no	—
702	C₂×Dic₈₉	—	4	4	no	—
703	C₂×Dic₈₉	C₂×#41	1	2	yes	—
704	D₃₅₆	—	4	4	no	—
705	D₃₅₆	—	4	4	no	—
706	D₃₅₆	—	4	4	no	—
707	D₃₅₆	—	4	4	no	—
708	D₃₅₆	—	8	2	no	—
709	D₃₅₆	—	8	2	no	—
710	D₃₅₆	—	8	2	no	—
711	D₃₅₆	—	8	2	no	—
712	D₃₅₆	—	8	2	no	—
713	C₄×D₈₉	—	2	8	no	—
714	C₄×D₈₉	—	4	4	no	—
715	C₄×D₈₉	—	4	4	no	—
716	C₄×D₈₉	—	4	4	no	—
717	C₄×D₈₉	—	4	4	no	—
718	C₄×D₈₉	—	4	4	no	—
719	C₄×D₈₉	—	4	4	no	—
720	C₄×D₈₉	—	4	4	no	—
721	C₄×D₈₉	—	8	2	no	—
722	C₄×D₈₉	—	8	2	no	—
723	C₄×D₈₉	—	8	2	no	—
724	Dic₁₇₈	—	8	2	no	—
725	C₂²×C₈₉	—	2	2	no	—
726	C₂²×C₈₉	—	2	2	no	—
727	C₂²×C₈₉	—	2	2	no	—
728	C₂²×C₈₉	—	4	1	no	—
729	C₂²×C₈₉	—	4	1	no	—
730	C₂²×C₈₉	—	4	1	no	—
731	C₂²×C₈₉	—	4	1	no	—
732	C₂²×C₈₉	C₂²×#41	1	1	yes	characteristic
733	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
734	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
735	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
736	C₂²×C₈₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
737	C₂²×C₈₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
738	C₂²×C₈₉	#585	1	1	yes	characteristic
739	C₂×D₈₉	—	2	2	no	—
740	C₂×D₈₉	—	2	2	no	—
741	C₂×D₈₉	—	2	2	no	—
742	C₂×D₈₉	—	2	2	no	—
743	C₂×D₈₉	—	2	2	no	—
744	C₂×D₈₉	—	2	2	no	—
745	C₂×D₈₉	—	2	2	no	—
746	C₂×D₈₉	—	2	2	no	—
747	C₂×D₈₉	—	2	2	no	—
748	C₂×D₈₉	—	4	16	no	—
749	C₂×D₈₉	—	4	1	no	—
750	C₂×D₈₉	—	4	1	no	—
751	C₂×D₈₉	—	4	1	no	—
752	C₂×D₈₉	—	4	1	no	—
753	C₂×D₈₉	—	4	1	no	—
754	C₂×D₈₉	—	4	1	no	—
755	C₂×D₈₉	—	4	1	no	—
756	C₂×D₈₉	—	4	1	no	—
757	C₂×D₈₉	—	4	1	no	—
758	C₂×D₈₉	—	4	1	no	—
759	C₂×D₈₉	—	4	1	no	—
760	C₂×D₈₉	—	4	1	no	—
761	C₂×D₈₉	—	4	1	no	—
762	C₂×D₈₉	—	4	1	no	—
763	C₂×D₈₉	—	4	1	no	—
764	C₂×D₈₉	—	4	1	no	—
765	C₂×D₈₉	—	4	1	no	—
766	C₂×D₈₉	—	4	1	no	—
767	C₂×D₈₉	—	4	1	no	—
768	C₂×D₈₉	—	4	1	no	—
769	C₂×D₈₉	—	4	1	no	—
770	C₂×D₈₉	—	4	1	no	—
771	C₂×D₈₉	—	4	1	no	—
772	C₂×D₈₉	—	4	1	no	—
773	C₂×D₈₉	—	4	1	no	—
774	C₂×D₈₉	#538	1	4	yes	—
775	C₄×C₈₉	—	2	2	no	—
776	C₄×C₈₉	—	2	2	no	—
777	C₄×C₈₉	—	4	1	no	—
778	C₄×C₈₉	—	4	1	no	—
779	C₄×C₈₉	—	4	1	no	—
780	C₄×C₈₉	—	4	1	no	—
781	C₄×C₈₉	—	4	1	no	—
782	C₄×C₈₉	—	4	1	no	—
783	C₄×C₈₉	—	4	1	no	—
784	C₄×C₈₉	—	4	1	no	—
785	C₄×C₈₉	—	4	1	no	—
786	C₄×C₈₉	—	4	1	no	—
787	C₄×C₈₉	—	4	1	no	—
788	C₄×C₈₉	—	4	1	no	—
789	Dic₈₉	—	2	2	no	—
790	Dic₈₉	—	4	1	no	—
791	Dic₈₉	—	4	1	no	—
792	Dic₈₉	—	4	1	no	—
793	Dic₈₉	—	4	1	no	—
794	Dic₈₉	—	4	1	no	—
795	Dic₈₉	—	4	1	no	—
796	Dic₈₉	—	4	1	no	—
797	Dic₈₉	—	4	1	no	—
798	Dic₈₉	—	4	1	no	—
799	Dic₈₉	—	4	1	no	—
800	#36791	—	89	1	no	maximal, Sylow
801	C₂×C₈₉	—	4	2	no	—
802	C₂×C₈₉	C₂×#538	1	1	yes	characteristic
803	C₂×C₈₉	#3492	1	1	yes	characteristic
804	C₂×C₈₉	#3506	1	1	yes	characteristic
805	C₂×C₈₉	#3532	1	1	yes	characteristic
806	C₂×C₈₉	#3534	1	1	yes	characteristic
807	C₂×C₈₉	#3535	1	1	yes	characteristic
808	C₂×C₈₉	#3536	1	1	yes	characteristic
809	D₈₉	—	2	4	no	—
810	D₈₉	—	4	2	no	—
811	D₈₉	—	8	1	no	—
812	D₈₉	—	8	1	no	—
813	D₈₉	—	8	1	no	—
814	#2849	—	89	1	no	—
815	#2847	—	89	1	no	—
816	#2804	—	89	1	no	—
817	#2797	—	89	1	no	—
818	#2788	—	89	1	no	—
819	#2784	—	89	1	no	—
820	#2780	—	89	1	no	—
821	#2778	—	89	1	no	—
822	#2751	—	89	1	no	—
823	#2750	—	89	1	no	—
824	#2745	D₈₉	1	1	yes	characteristic, complemented
825	#2714	—	89	1	no	—
826	#2710	—	89	1	no	—
827	#2708	—	89	1	no	—
828	#2708	—	89	1	no	—
829	#2695	—	89	1	no	—
830	#2686	—	89	1	no	—
831	#2682	—	89	1	no	—
832	#2643	—	89	1	no	—
833	#2639	—	89	1	no	—
834	#2481	—	89	1	no	—
835	#2472	—	89	1	no	—
836	#2443	—	89	1	no	—
837	#2438	—	89	1	no	—
838	#2430	—	89	1	no	—
839	#2424	—	89	1	no	—
840	#2411	—	89	1	no	—
841	#2404	—	89	1	no	—
842	#2322	—	89	1	no	—
843	#2311	—	89	1	no	—
844	C₂×#385	—	89	1	no	—
845	C₈₉	#36791	1	1	yes	characteristic, complemented, Sylow
846	C₂²×#41	—	89	1	no	—
847	C₂⁴×C₄	—	89	1	no	—
848	C₂×#126	—	89	1	no	—
849	C₂×#124	—	89	1	no	—
850	C₂×#123	—	89	1	no	—
851	C₂×#123	—	89	1	no	—
852	C₂×#123	—	89	1	no	—
853	C₂×#123	—	89	1	no	—
854	C₂×C₂²⋊Q₈	—	89	1	no	—
855	C₂×#121	—	89	1	no	—
856	C₂×#121	—	89	1	no	—
857	C₂×#121	—	89	1	no	—
858	C₂×#121	—	89	1	no	—
859	C₂×#121	—	89	1	no	—
860	C₂×#120	—	89	1	no	—
861	C₂×#120	—	89	1	no	—
862	C₂×#120	—	89	1	no	—
863	C₂×C₄×D₄	—	89	1	no	—
864	C₂×#117	—	89	1	no	—
865	C₂²×C₄⋊C₄	—	89	1	no	—
866	C₂²×C₄⋊C₄	—	89	1	no	—
867	C₂²×C₂²⋊C₄	—	89	1	no	—
868	C₂²×C₂²⋊C₄	—	89	1	no	—
869	#401	C₂×D₈₉	1	1	yes	characteristic, complemented
870	#400	—	89	1	no	—
871	#400	—	89	1	no	—
872	#400	—	89	1	no	—
873	#400	—	89	1	no	—
874	#400	—	89	1	no	—
875	#400	—	89	1	no	—
876	#400	C₂×D₈₉	1	1	yes	characteristic, complemented
877	#400	C₂×D₈₉	1	1	yes	characteristic, complemented
878	#399	—	89	1	no	—
879	#398	—	89	1	no	—
880	#398	—	89	1	no	—
881	#398	—	89	1	no	—
882	#397	—	89	1	no	—
883	#397	—	89	1	no	—
884	#397	—	89	1	no	—
885	#397	—	89	1	no	—
886	#397	—	89	1	no	—
887	#397	—	89	1	no	—
888	#397	—	89	1	no	—
889	#397	C₂×D₈₉	1	1	yes	characteristic
890	#396	—	89	1	no	—
891	#396	—	89	1	no	—
892	#396	—	89	1	no	—
893	#396	—	89	1	no	—
894	#396	—	89	1	no	—
895	#395	—	89	1	no	—
896	#395	C₂×D₈₉	1	1	yes	characteristic, complemented
897	#394	—	89	1	no	—
898	#394	—	89	1	no	—
899	#394	—	89	1	no	—
900	#394	—	89	1	no	—
901	#394	—	89	1	no	—
902	#394	—	89	1	no	—
903	#394	—	89	1	no	—
904	#394	—	89	1	no	—
905	#394	—	89	1	no	—
906	#394	—	89	1	no	—
907	#393	—	89	1	no	—
908	#393	—	89	1	no	—
909	#393	—	89	1	no	—
910	#393	—	89	1	no	—
911	#393	—	89	1	no	—
912	#393	C₂×D₈₉	1	1	yes	characteristic
913	#392	—	89	1	no	—
914	#392	—	89	1	no	—
915	#392	—	89	1	no	—
916	#392	—	89	1	no	—
917	#391	—	89	1	no	—
918	#391	—	89	1	no	—
919	#391	C₂×D₈₉	1	1	yes	characteristic, complemented
920	#390	—	89	1	no	—
921	#390	—	89	1	no	—
922	#390	—	89	1	no	—
923	#390	—	89	1	no	—
924	#390	—	89	1	no	—
925	#390	—	89	1	no	—
926	#389	—	89	1	no	—
927	#389	—	89	1	no	—
928	#389	—	89	1	no	—
929	#388	—	89	1	no	—
930	#388	—	89	1	no	—
931	#388	—	89	1	no	—
932	#388	—	89	1	no	—
933	#388	—	89	1	no	—
934	#388	—	89	1	no	—
935	#388	—	89	1	no	—
936	#388	C₂×D₈₉	1	1	yes	characteristic
937	#388	C₂×D₈₉	1	1	yes	characteristic
938	#387	—	89	1	no	—
939	#387	—	89	1	no	—
940	#387	—	89	1	no	—
941	#387	—	89	1	no	—
942	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
943	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
944	#387	C₂×D₈₉	1	1	yes	characteristic, complemented
945	#386	—	89	1	no	—
946	#386	—	89	1	no	—
947	#386	—	89	1	no	—
948	#386	—	89	1	no	—
949	#386	—	89	1	no	—
950	#386	—	89	1	no	—
951	#386	—	89	1	no	—
952	#386	—	89	1	no	—
953	#386	—	89	1	no	—
954	#386	—	89	1	no	—
955	#386	—	89	1	no	—
956	#386	—	89	1	no	—
957	#386	—	89	1	no	—
958	#386	—	89	1	no	—
959	#386	—	89	1	no	—
960	#386	—	89	1	no	—
961	#386	—	89	1	no	—
962	#386	—	89	1	no	—
963	#386	—	89	1	no	—
964	#386	—	89	1	no	—
965	#386	—	89	1	no	—
966	#386	—	89	1	no	—
967	#386	—	89	1	no	—
968	#385	—	89	1	no	—
969	#385	—	89	1	no	—
970	#385	—	89	1	no	—
971	#385	—	89	1	no	—
972	#385	—	89	1	no	—
973	#385	—	89	1	no	—
974	#385	—	89	1	no	—
975	#385	—	89	1	no	—
976	#385	—	89	1	no	—
977	#385	—	89	1	no	—
978	#385	—	89	1	no	—
979	#385	—	89	1	no	—
980	#385	—	89	1	no	—
981	#385	—	89	1	no	—
982	#385	—	89	1	no	—
983	#385	—	89	1	no	—
984	#385	—	89	1	no	—
985	#385	—	89	1	no	—
986	#385	C₂×D₈₉	1	1	yes	characteristic
987	#381	—	89	1	no	—
988	#381	—	89	1	no	—
989	#381	C₂×D₈₉	1	1	yes	characteristic
990	#380	—	89	1	no	—
991	#380	—	89	1	no	—
992	#380	—	89	1	no	—
993	#380	—	89	1	no	—
994	#380	—	89	1	no	—
995	#380	—	89	1	no	—
996	#380	C₂×D₈₉	1	1	yes	characteristic
997	#379	—	89	1	no	—
998	C₄×C₂²⋊C₄	—	89	1	no	—
999	C₂×#95	—	89	1	no	—
1000	C₂×#95	—	89	1	no	—
1001	C₂⁵	—	89	1	no	—
1002	C₂×#41	—	356	2	no	—
1003	C₂×#41	—	356	2	no	—
1004	C₂×#41	—	178	4	no	—
1005	C₂²×Q₈	—	89	1	no	—
1006	C₂²×Q₈	C₂²×D₈₉	1	1	yes	characteristic
1007	C₂²×D₄	—	89	1	no	—
1008	C₂²×D₄	—	89	1	no	—
1009	C₂²×D₄	—	89	1	no	—
1010	C₂²×D₄	—	89	1	no	—
1011	C₂²×D₄	—	89	1	no	—
1012	C₂²×D₄	—	89	1	no	—
1013	C₂²×D₄	—	89	1	no	—
1014	C₂²×D₄	—	89	1	no	—
1015	C₂²×D₄	—	89	1	no	—
1016	C₂²×D₄	—	89	1	no	—
1017	C₂²×D₄	—	89	1	no	—
1018	C₂²×D₄	—	89	1	no	—
1019	C₂³×C₄	—	89	1	no	—
1020	C₂³×C₄	—	89	1	no	—
1021	C₂³×C₄	—	89	1	no	—
1022	C₂³×C₄	—	89	1	no	—
1023	C₂³×C₄	—	89	1	no	—
1024	C₂³×C₄	—	89	1	no	—
1025	C₂³×C₄	—	89	1	no	—
1026	C₂³×C₄	—	89	1	no	—
1027	C₂³×C₄	—	89	1	no	—
1028	C₂³×C₄	—	89	1	no	—
1029	C₂³×C₄	—	89	1	no	—
1030	C₂³×C₄	—	89	1	no	—
1031	C₂³×C₄	—	356	2	no	—
1032	C₂³×C₄	—	356	2	no	—
1033	C₂³×C₄	—	356	2	no	—
1034	C₂³×C₄	C₂²×D₈₉	1	1	yes	characteristic
1035	#126	—	356	2	no	—
1036	#124	—	356	2	no	—
1037	#123	—	356	2	no	—
1038	#123	—	356	2	no	—
1039	#123	—	356	2	no	—
1040	#123	—	178	4	no	—
1041	C₂²⋊Q₈	—	356	2	no	—
1042	#121	—	356	2	no	—
1043	#121	—	356	2	no	—
1044	#121	—	356	2	no	—
1045	#121	—	356	2	no	—
1046	#121	—	356	2	no	—
1047	#120	—	356	2	no	—
1048	#120	—	356	2	no	—
1049	#120	—	356	2	no	—
1050	C₄×D₄	—	356	2	no	—
1051	#117	—	356	2	no	—
1052	C₂×C₄⋊C₄	—	89	1	no	—
1053	C₂×C₄⋊C₄	—	89	1	no	—
1054	C₂×C₄⋊C₄	—	89	1	no	—
1055	C₂×C₄⋊C₄	—	89	1	no	—
1056	C₂×C₄⋊C₄	—	89	1	no	—
1057	C₂×C₄⋊C₄	—	89	1	no	—
1058	C₂×C₄⋊C₄	—	89	1	no	—
1059	C₂×C₄⋊C₄	—	89	1	no	—
1060	C₂×C₄⋊C₄	—	89	1	no	—
1061	C₂×C₄⋊C₄	—	89	1	no	—
1062	C₂×C₄⋊C₄	—	89	1	no	—
1063	C₂×C₄⋊C₄	—	89	1	no	—
1064	C₂×C₄⋊C₄	—	89	1	no	—
1065	C₂×C₄⋊C₄	—	89	1	no	—
1066	C₂×C₄⋊C₄	—	89	1	no	—
1067	C₂×C₄⋊C₄	—	89	1	no	—
1068	C₂×C₄⋊C₄	—	89	1	no	—
1069	C₂×C₄⋊C₄	—	89	1	no	—
1070	C₂×C₄⋊C₄	—	89	1	no	—
1071	C₂×C₄⋊C₄	—	89	1	no	—
1072	C₂×C₄⋊C₄	—	89	1	no	—
1073	C₂×C₄⋊C₄	—	356	2	no	—
1074	C₂×C₄⋊C₄	—	356	2	no	—
1075	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1079	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1080	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1081	C₂×C₄⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	—	89	1	no	—
1083	C₂×C₂²⋊C₄	—	89	1	no	—
1084	C₂×C₂²⋊C₄	—	89	1	no	—
1085	C₂×C₂²⋊C₄	—	89	1	no	—
1086	C₂×C₂²⋊C₄	—	89	1	no	—
1087	C₂×C₂²⋊C₄	—	89	1	no	—
1088	C₂×C₂²⋊C₄	—	89	1	no	—
1089	C₂×C₂²⋊C₄	—	89	1	no	—
1090	C₂×C₂²⋊C₄	—	89	1	no	—
1091	C₂×C₂²⋊C₄	—	89	1	no	—
1092	C₂×C₂²⋊C₄	—	89	1	no	—
1093	C₂×C₂²⋊C₄	—	89	1	no	—
1094	C₂×C₂²⋊C₄	—	89	1	no	—
1095	C₂×C₂²⋊C₄	—	89	1	no	—
1096	C₂×C₂²⋊C₄	—	89	1	no	—
1097	C₂×C₂²⋊C₄	—	89	1	no	—
1098	C₂×C₂²⋊C₄	—	89	1	no	—
1099	C₂×C₂²⋊C₄	—	89	1	no	—
1100	C₂×C₂²⋊C₄	—	89	1	no	—
1101	C₂×C₂²⋊C₄	—	89	1	no	—
1102	C₂×C₂²⋊C₄	—	89	1	no	—
1103	C₂×C₂²⋊C₄	—	89	1	no	—
1104	C₂×C₂²⋊C₄	—	89	1	no	—
1105	C₂×C₂²⋊C₄	—	89	1	no	—
1106	C₂×C₂²⋊C₄	—	89	1	no	—
1107	C₂×C₂²⋊C₄	—	89	1	no	—
1108	C₂×C₂²⋊C₄	—	89	1	no	—
1109	C₂×C₂²⋊C₄	—	89	1	no	—
1110	C₂×C₂²⋊C₄	—	89	1	no	—
1111	C₂×C₂²⋊C₄	—	89	1	no	—
1112	C₂×C₂²⋊C₄	—	89	1	no	—
1113	C₂×C₂²⋊C₄	—	89	1	no	—
1114	C₂×C₂²⋊C₄	—	89	1	no	—
1115	C₂×C₂²⋊C₄	—	89	1	no	—
1116	C₂×C₂²⋊C₄	—	89	1	no	—
1117	C₂×C₂²⋊C₄	—	89	1	no	—
1118	C₂×C₂²⋊C₄	—	89	1	no	—
1119	C₂×C₂²⋊C₄	—	89	1	no	—
1120	C₂×C₂²⋊C₄	—	89	1	no	—
1121	C₂×C₂²⋊C₄	—	89	1	no	—
1122	C₂×C₂²⋊C₄	—	89	1	no	—
1123	C₂×C₂²⋊C₄	—	89	1	no	—
1124	C₂×C₂²⋊C₄	—	89	1	no	—
1125	C₂×C₂²⋊C₄	—	89	1	no	—
1126	C₂×C₂²⋊C₄	—	356	2	no	—
1127	C₂×C₂²⋊C₄	—	178	4	no	—
1128	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1129	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1130	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1131	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1132	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1133	C₂×C₂²⋊C₄	C₂²×D₈₉	1	1	yes	characteristic
1134	C₂×C₄²	—	89	1	no	—
1135	C₂×C₄²	—	89	1	no	—
1136	C₂×C₄²	—	89	1	no	—
1137	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1138	C₂×C₄²	C₂²×D₈₉	1	1	yes	characteristic
1139	#95	—	89	1	no	—
1140	#95	—	89	1	no	—
1141	#95	—	89	1	no	—
1142	#95	—	89	1	no	—
1143	#95	—	89	1	no	—
1144	#95	—	89	1	no	—
1145	#95	—	89	1	no	—
1146	#95	—	89	1	no	—
1147	#95	—	89	1	no	—
1148	#95	—	89	1	no	—
1149	#95	—	89	1	no	—
1150	#95	—	89	1	no	—
1151	#95	—	89	1	no	—
1152	#95	—	89	1	no	—
1153	#95	—	89	1	no	—
1154	#95	—	89	1	no	—
1155	#95	—	89	1	no	—
1156	#95	—	89	1	no	—
1157	#95	—	89	1	no	—
1158	#95	—	89	1	no	—
1159	#95	—	89	1	no	—
1160	#95	—	89	1	no	—
1161	#95	—	89	1	no	—
1162	#95	—	89	1	no	—
1163	#95	—	89	1	no	—
1164	#95	—	89	1	no	—
1165	#95	C₂²×D₈₉	1	1	yes	characteristic
1166	#95	C₂²×D₈₉	1	1	yes	characteristic
1167	#95	C₂²×D₈₉	1	1	yes	characteristic
1168	#95	C₂²×D₈₉	1	1	yes	characteristic
1169	#95	C₂²×D₈₉	1	1	yes	characteristic
1170	#95	C₂²×D₈₉	1	1	yes	characteristic
1171	#95	C₂²×D₈₉	1	1	yes	characteristic
1172	#95	C₂²×D₈₉	1	1	yes	characteristic
1173	#95	C₂²×D₈₉	1	1	yes	characteristic
1174	#95	C₂²×D₈₉	1	1	yes	characteristic
1175	#95	C₂²×D₈₉	1	1	yes	characteristic
1176	#95	C₂²×D₈₉	1	1	yes	characteristic
1177	#95	C₂²×D₈₉	1	1	yes	characteristic
1178	#95	C₂²×D₈₉	1	1	yes	characteristic
1179	#95	C₂²×D₈₉	1	1	yes	characteristic
1180	#95	C₂²×D₈₉	1	1	yes	characteristic
1181	#95	C₂²×D₈₉	1	1	yes	characteristic
1182	#95	C₂²×D₈₉	1	1	yes	characteristic
1183	C₂⁴	—	89	1	no	—
1184	C₂⁴	—	89	1	no	—
1185	C₂⁴	—	89	1	no	—
1186	C₂⁴	—	89	1	no	—
1187	C₂⁴	—	89	1	no	—
1188	C₂⁴	—	356	1	no	—
1189	C₂⁴	—	356	1	no	—
1190	C₂⁴	—	178	2	no	—
1191	C₂⁴	—	178	2	no	—
1192	C₂⁴	—	178	2	no	—
1193	C₂⁴	—	178	2	no	—
1194	C₂⁴	—	178	2	no	—
1195	C₂⁴	C₂³×D₈₉	1	1	yes	characteristic
1196	#41	—	356	16	no	—
1197	C₂×Q₈	—	2	2	no	—
1198	C₂×Q₈	—	4	1	no	—
1199	C₂×Q₈	—	4	1	no	—
1200	C₂×Q₈	—	356	1	no	—
1201	C₂×Q₈	—	356	1	no	—
1202	C₂×Q₈	—	356	1	no	—
1203	C₂×D₄	—	356	1	no	—
1204	C₂×D₄	—	356	1	no	—
1205	C₂×D₄	—	356	1	no	—
1206	C₂×D₄	—	356	1	no	—
1207	C₂×D₄	—	356	1	no	—
1208	C₂×D₄	—	356	1	no	—
1209	C₂×D₄	—	356	1	no	—
1210	C₂×D₄	—	356	1	no	—
1211	C₂×D₄	—	356	1	no	—
1212	C₂×D₄	—	356	1	no	—
1213	C₂×D₄	—	356	1	no	—
1214	C₂×D₄	—	356	1	no	—
1215	C₂×D₄	—	356	1	no	—
1216	C₂×D₄	—	356	1	no	—
1217	C₂×D₄	—	356	1	no	—
1218	C₂×D₄	—	356	1	no	—
1219	C₂×D₄	—	356	1	no	—
1220	C₂×D₄	—	356	1	no	—
1221	C₂×D₄	—	356	1	no	—
1222	C₂×D₄	—	178	2	no	—
1223	C₂×D₄	—	178	2	no	—
1224	C₂×D₄	—	178	2	no	—
1225	C₂×D₄	—	178	2	no	—
1226	C₂×D₄	—	178	2	no	—
1227	C₂×D₄	—	178	2	no	—
1228	C₂×D₄	—	178	2	no	—
1229	C₂×D₄	—	178	2	no	—
1230	C₂×D₄	—	178	2	no	—
1231	C₂×D₄	—	178	2	no	—
1232	C₂×D₄	—	178	2	no	—
1233	C₂×D₄	—	178	2	no	—
1234	C₂×D₄	—	178	2	no	—
1235	C₂×D₄	—	178	2	no	—
1236	C₂×D₄	—	178	2	no	—
1237	C₂×D₄	—	178	2	no	—
1238	C₂×D₄	—	178	2	no	—
1239	C₂²×C₄	—	2	2	no	—
1240	C₂²×C₄	—	2	2	no	—
1241	C₂²×C₄	—	4	1	no	—
1242	C₂²×C₄	—	89	1	no	—
1243	C₂²×C₄	—	89	4	no	—
1244	C₂²×C₄	—	89	1	no	—
1245	C₂²×C₄	—	89	1	no	—
1246	C₂²×C₄	—	89	1	no	—
1247	C₂²×C₄	—	89	1	no	—
1248	C₂²×C₄	—	89	1	no	—
1249	C₂²×C₄	—	89	1	no	—
1250	C₂²×C₄	—	89	1	no	—
1251	C₂²×C₄	—	89	1	no	—
1252	C₂²×C₄	—	89	1	no	—
1253	C₂²×C₄	—	89	1	no	—
1254	C₂²×C₄	—	356	1	no	—
1255	C₂²×C₄	—	356	1	no	—
1256	C₂²×C₄	—	356	1	no	—
1257	C₂²×C₄	—	356	1	no	—
1258	C₂²×C₄	—	356	1	no	—
1259	C₂²×C₄	—	356	1	no	—
1260	C₂²×C₄	—	356	1	no	—
1261	C₂²×C₄	—	356	1	no	—
1262	C₂²×C₄	—	356	1	no	—
1263	C₂²×C₄	—	356	1	no	—
1264	C₂²×C₄	—	356	1	no	—
1265	C₂²×C₄	—	356	1	no	—
1266	C₂²×C₄	—	356	1	no	—
1267	C₂²×C₄	—	356	1	no	—
1268	C₂²×C₄	—	356	1	no	—
1269	C₂²×C₄	—	356	1	no	—
1270	C₂²×C₄	—	356	1	no	—
1271	C₂²×C₄	—	356	1	no	—
1272	C₂²×C₄	—	356	1	no	—
1273	C₂²×C₄	—	356	1	no	—
1274	C₂²×C₄	—	356	1	no	—
1275	C₂²×C₄	—	356	16	no	—
1276	C₂²×C₄	—	356	1	no	—
1277	C₂²×C₄	—	356	1	no	—
1278	C₂²×C₄	—	178	2	no	—
1279	C₂²×C₄	—	178	2	no	—
1280	C₂²×C₄	—	178	2	no	—
1281	C₂²×C₄	—	178	2	no	—
1282	C₂²×C₄	—	178	2	no	—
1283	C₂²×C₄	—	178	2	no	—
1284	C₂²×C₄	—	178	2	no	—
1285	C₂²×C₄	—	178	2	no	—
1286	C₂²×C₄	—	178	2	no	—
1287	C₂²×C₄	—	178	2	no	—
1288	C₂²×C₄	—	178	2	no	—
1289	C₂²×C₄	—	178	2	no	—
1290	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1291	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1292	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1293	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1294	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1295	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1296	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1297	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1298	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1299	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1300	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1301	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1302	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1303	C₂²×C₄	C₂³×D₈₉	1	1	yes	characteristic
1304	C₄⋊C₄	—	2	2	no	—
1305	C₄⋊C₄	—	2	2	no	—
1306	C₄⋊C₄	—	2	2	no	—
1307	C₄⋊C₄	—	4	1	no	—
1308	C₄⋊C₄	—	4	1	no	—
1309	C₄⋊C₄	—	4	1	no	—
1310	C₄⋊C₄	—	4	1	no	—
1311	C₄⋊C₄	—	356	1	no	—
1312	C₄⋊C₄	—	356	1	no	—
1313	C₄⋊C₄	—	356	1	no	—
1314	C₄⋊C₄	—	356	1	no	—
1315	C₄⋊C₄	—	356	1	no	—
1316	C₄⋊C₄	—	356	1	no	—
1317	C₄⋊C₄	—	356	1	no	—
1318	C₄⋊C₄	—	356	1	no	—
1319	C₄⋊C₄	—	356	1	no	—
1320	C₄⋊C₄	—	356	1	no	—
1321	C₄⋊C₄	—	356	1	no	—
1322	C₄⋊C₄	—	356	1	no	—
1323	C₄⋊C₄	—	356	1	no	—
1324	C₄⋊C₄	—	356	1	no	—
1325	C₄⋊C₄	—	356	1	no	—
1326	C₄⋊C₄	—	356	1	no	—
1327	C₄⋊C₄	—	356	1	no	—
1328	C₄⋊C₄	—	356	1	no	—
1329	C₄⋊C₄	—	178	2	no	—
1330	C₄⋊C₄	—	178	2	no	—
1331	C₄⋊C₄	—	178	2	no	—
1332	C₂²⋊C₄	—	2	2	no	—
1333	C₂²⋊C₄	—	2	2	no	—
1334	C₂²⋊C₄	—	2	2	no	—
1335	C₂²⋊C₄	—	4	1	no	—
1336	C₂²⋊C₄	—	4	1	no	—
1337	C₂²⋊C₄	—	4	1	no	—
1338	C₂²⋊C₄	—	356	1	no	—
1339	C₂²⋊C₄	—	356	1	no	—
1340	C₂²⋊C₄	—	356	1	no	—
1341	C₂²⋊C₄	—	356	1	no	—
1342	C₂²⋊C₄	—	356	1	no	—
1343	C₂²⋊C₄	—	356	1	no	—
1344	C₂²⋊C₄	—	356	1	no	—
1345	C₂²⋊C₄	—	356	1	no	—
1346	C₂²⋊C₄	—	356	1	no	—
1347	C₂²⋊C₄	—	356	1	no	—
1348	C₂²⋊C₄	—	356	1	no	—
1349	C₂²⋊C₄	—	356	1	no	—
1350	C₂²⋊C₄	—	356	1	no	—
1351	C₂²⋊C₄	—	356	1	no	—
1352	C₂²⋊C₄	—	356	1	no	—
1353	C₂²⋊C₄	—	356	1	no	—
1354	C₂²⋊C₄	—	356	1	no	—
1355	C₂²⋊C₄	—	356	1	no	—
1356	C₂²⋊C₄	—	356	1	no	—
1357	C₂²⋊C₄	—	356	1	no	—
1358	C₂²⋊C₄	—	356	1	no	—
1359	C₂²⋊C₄	—	356	1	no	—
1360	C₂²⋊C₄	—	356	1	no	—
1361	C₂²⋊C₄	—	356	1	no	—
1362	C₂²⋊C₄	—	356	1	no	—
1363	C₂²⋊C₄	—	356	1	no	—
1364	C₂²⋊C₄	—	356	1	no	—
1365	C₂²⋊C₄	—	356	1	no	—
1366	C₂²⋊C₄	—	356	1	no	—
1367	C₂²⋊C₄	—	356	1	no	—
1368	C₂²⋊C₄	—	356	1	no	—
1369	C₂²⋊C₄	—	178	2	no	—
1370	C₂²⋊C₄	—	178	2	no	—
1371	C₂²⋊C₄	—	178	2	no	—
1372	C₂²⋊C₄	—	178	2	no	—
1373	C₂²⋊C₄	—	178	2	no	—
1374	C₂²⋊C₄	—	178	2	no	—
1375	C₂²⋊C₄	—	178	2	no	—
1376	C₂²⋊C₄	—	178	2	no	—
1377	C₂²⋊C₄	—	178	2	no	—
1378	C₂²⋊C₄	—	178	2	no	—
1379	C₂²⋊C₄	—	178	2	no	—
1380	C₂²⋊C₄	—	178	2	no	—
1381	C₂²⋊C₄	—	178	2	no	—
1382	C₄²	—	4	1	no	—
1383	C₄²	—	4	1	no	—
1384	C₄²	—	356	1	no	—
1385	C₄²	—	356	1	no	—
1386	C₄²	—	356	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	89	2	no	—
1394	C₂³	—	89	2	no	—
1395	C₂³	—	89	2	no	—
1396	C₂³	—	89	2	no	—
1397	C₂³	—	356	4	no	—
1398	C₂³	—	356	4	no	—
1399	C₂³	—	356	4	no	—
1400	C₂³	—	356	4	no	—
1401	C₂³	—	356	4	no	—
1402	C₂³	—	356	4	no	—
1403	C₂³	—	178	8	no	—
1404	C₂³	—	178	1	no	—
1405	C₂³	—	178	1	no	—
1406	C₂³	—	178	1	no	—
1407	C₂³	—	178	1	no	—
1408	C₂³	—	178	1	no	—
1409	C₂³	—	178	1	no	—
1410	C₂³	—	178	1	no	—
1411	C₂³	—	178	1	no	—
1412	C₂³	—	178	1	no	—
1413	C₂³	—	178	1	no	—
1414	C₂³	—	178	1	no	—
1415	C₂³	—	178	1	no	—
1416	C₂³	—	178	1	no	—
1417	C₂³	—	178	1	no	—
1418	C₂³	—	178	1	no	—
1419	C₂³	—	178	1	no	—
1420	C₂³	—	178	1	no	—
1421	C₂³	—	178	1	no	—
1422	C₂³	—	178	1	no	—
1423	C₂³	—	178	1	no	—
1424	C₂³	—	178	1	no	—
1425	C₂³	—	178	1	no	—
1426	C₂³	—	178	1	no	—
1427	C₂³	—	178	1	no	—
1428	C₂³	—	178	1	no	—
1429	C₂³	—	178	1	no	—
1430	C₂³	—	178	1	no	—
1431	C₂³	—	178	1	no	—
1432	C₂³	—	178	1	no	—
1433	C₂³	—	178	1	no	—
1434	C₂³	—	178	1	no	—
1435	C₂³	#15668058	1	2	yes	—
1436	C₂³	C₂⁴×D₈₉	1	1	yes	characteristic
1437	Q₈	—	4	4	no	—
1438	Q₈	—	712	2	no	—
1439	D₄	—	356	4	no	—
1440	D₄	—	356	4	no	—
1441	D₄	—	356	4	no	—
1442	D₄	—	356	4	no	—
1443	D₄	—	712	2	no	—
1444	D₄	—	712	2	no	—
1445	D₄	—	712	2	no	—
1446	D₄	—	712	2	no	—
1447	D₄	—	712	2	no	—
1448	D₄	—	712	2	no	—
1449	D₄	—	712	2	no	—
1450	D₄	—	712	2	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	2	1	no	—
1460	C₂×C₄	—	2	1	no	—
1461	C₂×C₄	—	2	1	no	—
1462	C₂×C₄	—	2	1	no	—
1463	C₂×C₄	—	2	1	no	—
1464	C₂×C₄	—	2	1	no	—
1465	C₂×C₄	—	2	1	no	—
1466	C₂×C₄	—	2	1	no	—
1467	C₂×C₄	—	2	1	no	—
1468	C₂×C₄	—	2	1	no	—
1469	C₂×C₄	—	2	1	no	—
1470	C₂×C₄	—	2	1	no	—
1471	C₂×C₄	—	2	1	no	—
1472	C₂×C₄	—	2	1	no	—
1473	C₂×C₄	—	2	1	no	—
1474	C₂×C₄	—	2	1	no	—
1475	C₂×C₄	—	2	1	no	—
1476	C₂×C₄	—	2	1	no	—
1477	C₂×C₄	—	2	1	no	—
1478	C₂×C₄	—	2	1	no	—
1479	C₂×C₄	—	2	1	no	—
1480	C₂×C₄	—	2	1	no	—
1481	C₂×C₄	—	2	1	no	—
1482	C₂×C₄	—	2	1	no	—
1483	C₂×C₄	—	2	1	no	—
1484	C₂×C₄	—	2	1	no	—
1485	C₂×C₄	—	2	1	no	—
1486	C₂×C₄	—	2	1	no	—
1487	C₂×C₄	—	2	1	no	—
1488	C₂×C₄	—	2	1	no	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	4	4	no	—
1492	C₂×C₄	—	89	2	no	—
1493	C₂×C₄	—	356	4	no	—
1494	C₂×C₄	—	356	4	no	—
1495	C₂×C₄	—	356	4	no	—
1496	C₂×C₄	—	356	4	no	—
1497	C₂×C₄	—	356	4	no	—
1498	C₂×C₄	—	356	4	no	—
1499	C₂×C₄	—	356	4	no	—
1500	C₂×C₄	—	356	4	no	—
1501	C₂×C₄	—	178	8	no	—
1502	C₂×C₄	—	178	1	no	—
1503	C₂×C₄	—	178	1	no	—
1504	C₂×C₄	—	178	1	no	—
1505	C₂×C₄	—	178	1	no	—
1506	C₂×C₄	—	178	1	no	—
1507	C₂×C₄	—	178	1	no	—
1508	C₂×C₄	—	178	1	no	—
1509	C₂×C₄	—	178	1	no	—
1510	C₂×C₄	—	178	1	no	—
1511	C₂×C₄	—	178	1	no	—
1512	C₂×C₄	—	178	1	no	—
1513	C₂×C₄	—	178	1	no	—
1514	C₂×C₄	—	178	1	no	—
1515	C₂×C₄	—	178	1	no	—
1516	C₂×C₄	—	178	1	no	—
1517	C₂×C₄	—	178	1	no	—
1518	C₂×C₄	—	178	1	no	—
1519	C₂×C₄	—	178	1	no	—
1520	C₂×C₄	—	178	1	no	—
1521	C₂×C₄	—	178	1	no	—
1522	C₂×C₄	—	178	1	no	—
1523	C₂×C₄	—	178	1	no	—
1524	C₂×C₄	—	178	1	no	—
1525	C₂×C₄	—	178	1	no	—
1526	C₂×C₄	—	178	1	no	—
1527	C₂×C₄	—	178	1	no	—
1528	C₂×C₄	—	178	1	no	—
1529	C₂×C₄	—	178	1	no	—
1530	C₂×C₄	—	178	1	no	—
1531	C₂×C₄	—	178	1	no	—
1532	C₂×C₄	—	178	1	no	—
1533	C₂×C₄	—	178	1	no	—
1534	C₂×C₄	—	712	2	no	—
1535	C₂×C₄	—	712	2	no	—
1536	C₂×C₄	—	712	2	no	—
1537	C₂×C₄	#41×D₈₉	1	2	yes	—
1538	C₂×C₄	#15668058	1	2	yes	—
1539	C₂²	—	2	2	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	89	4	no	—
1547	C₂²	—	356	16	no	—
1548	C₂²	—	356	1	no	—
1549	C₂²	—	356	1	no	—
1550	C₂²	—	356	1	no	—
1551	C₂²	—	356	1	no	—
1552	C₂²	—	356	1	no	—
1553	C₂²	—	356	1	no	—
1554	C₂²	—	356	1	no	—
1555	C₂²	—	356	1	no	—
1556	C₂²	—	356	1	no	—
1557	C₂²	—	356	1	no	—
1558	C₂²	—	356	1	no	—
1559	C₂²	—	356	1	no	—
1560	C₂²	—	356	1	no	—
1561	C₂²	—	356	1	no	—
1562	C₂²	—	356	1	no	—
1563	C₂²	—	356	1	no	—
1564	C₂²	—	356	1	no	—
1565	C₂²	—	356	1	no	—
1566	C₂²	—	356	1	no	—
1567	C₂²	—	356	1	no	—
1568	C₂²	—	356	1	no	—
1569	C₂²	—	356	1	no	—
1570	C₂²	—	356	1	no	—
1571	C₂²	—	356	1	no	—
1572	C₂²	—	356	1	no	—
1573	C₂²	—	178	2	no	—
1574	C₂²	—	178	2	no	—
1575	C₂²	—	178	2	no	—
1576	C₂²	—	178	2	no	—
1577	C₂²	—	178	2	no	—
1578	C₂²	—	178	2	no	—
1579	C₂²	—	178	2	no	—
1580	C₂²	—	178	2	no	—
1581	C₂²	—	178	2	no	—
1582	C₂²	C₂×#41×D₈₉	1	1	yes	characteristic
1583	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1584	C₂²	H(5,𝔽₂)×D₈₉	1	1	yes	characteristic
1585	C₂²	C₂×#15668058	1	1	yes	characteristic
1586	C₂²	C₂×#15668058	1	1	yes	characteristic
1587	C₂²	2₋¹⁺⁴×D₈₉	1	1	yes	characteristic
1588	C₂²	#19152435	1	1	yes	characteristic
1589	C₄	—	2	2	no	—
1590	C₄	—	2	2	no	—
1591	C₄	—	4	1	no	—
1592	C₄	—	4	1	no	—
1593	C₄	—	4	1	no	—
1594	C₄	—	4	1	no	—
1595	C₄	—	4	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	1	no	—
1598	C₄	—	4	1	no	—
1599	C₄	—	4	1	no	—
1600	C₄	—	4	1	no	—
1601	C₄	—	4	1	no	—
1602	C₄	—	4	1	no	—
1603	C₄	—	356	1	no	—
1604	C₄	—	356	1	no	—
1605	C₄	—	356	1	no	—
1606	C₄	—	356	1	no	—
1607	C₄	—	356	1	no	—
1608	C₄	—	356	1	no	—
1609	C₄	—	356	1	no	—
1610	C₄	—	356	1	no	—
1611	C₄	—	356	1	no	—
1612	C₄	—	356	1	no	—
1613	C₄	—	178	2	no	—
1614	C₂	—	4	2	no	—
1615	C₂	—	356	2	no	—
1616	C₂	—	178	4	no	—
1617	C₂	—	712	1	no	—
1618	C₂	—	712	1	no	—
1619	C₂	—	712	1	no	—
1620	C₂	#538×D₈₉	1	1	yes	characteristic
1621	C₂	#26033952	1	1	yes	characteristic
1622	C₂	#26034105	1	1	yes	characteristic
1623	C₂	#26034408	1	1	yes	characteristic
1624	C₂	#26034440	1	1	yes	characteristic
1625	C₂	#26034463	1	1	yes	characteristic
1626	C₂	#26034477	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₈₉
commutator, socle, cosocle	C₂³×C₈₉	C₂⁵
Fitting	C₈₉×#2745	C₂
hypercenter	#2745	D₈₉
hypocenter	C₈₉	#36791
LCS	G ▷ C₂³×C₈₉ ▷ C₈₉
UCS	C₁ ◁ C₂³ ◁ #2745

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
1. #26028545	C₂	semidirect
2. #26028535	C₂	semidirect
3. #26028196	C₂	semidirect
4. #26028110	C₂	semidirect
5. #26028004	C₂	semidirect
6. #26027948	C₂	semidirect
7. #26027899	C₂	semidirect
8. #26027877	C₂	semidirect
9. #26027511	C₂	semidirect
10. #26027488	C₂	semidirect
11. #26027046	C₂	semidirect
12. #26026992	C₂	semidirect
13. #26026976	C₂	semidirect
14. #26026975	C₂	semidirect
15. #26026787	C₂	semidirect
16. #26026658	C₂	semidirect
17. #26026618	C₂	semidirect
18. #26026210	C₂	semidirect
19. #26026184	C₂	semidirect
20. #26024516	C₂	semidirect
21. #26024371	C₂	semidirect
22. #26023992	C₂	semidirect
23. #26023927	C₂	semidirect
24. #26023863	C₂	semidirect
25. #26023793	C₂	semidirect
26. #26023636	C₂	semidirect
27. #26023572	C₂	semidirect
28. #26022925	C₂	semidirect
29. #26022843	C₂	semidirect
30. #385×D₈₉	C₂	semidirect
31. C₈₉×#2745	C₂	semidirect
34. C₂×#15668007	C₂²	semidirect
37. C₂×#15667997	C₂²	semidirect
55. #19151540	C₂²	semidirect
56. #19151540	C₂²	semidirect
57. #19151540	C₂²	semidirect
58. #19151540	C₂²	semidirect
59. #19151539	C₂²	semidirect
60. #19151536	C₂²	semidirect
61. #19151535	C₂²	semidirect
62. #19151531	C₂²	semidirect
63. #19151529	C₂²	semidirect
64. #19151528	C₂²	semidirect
65. #19151527	C₂²	semidirect
66. #19151527	C₂²	semidirect
67. #19151527	C₂²	semidirect
68. #19151525	C₂²	semidirect
69. #19151525	C₂²	semidirect
70. #19151525	C₂²	semidirect
71. #19151525	C₂²	semidirect
73. #19151522	C₂²	semidirect
76. #19151520	C₂²	semidirect
77. #19151519	C₂²	semidirect
80. #19151516	C₂²	semidirect
81. #19151516	C₂²	semidirect
82. #19151515	C₂²	semidirect
83. #19151515	C₂²	semidirect
89. #19151511	C₂²	semidirect
90. #19151511	C₂²	semidirect
92. #19151509	C₂²	semidirect
95. #19151508	C₂²	semidirect
97. #19151505	C₂²	semidirect
98. #19151504	C₂²	semidirect
101. #19151500	C₂²	semidirect
103. #19151499	C₂²	semidirect
105. #19151497	C₂²	semidirect
106. #19151495	C₂²	semidirect
107. #19151495	C₂²	semidirect
109. #19151490	C₂²	semidirect
110. #19151490	C₂²	semidirect
111. #19151489	C₂²	semidirect
114. #19151487	C₂²	semidirect
115. #19151485	C₂²	semidirect
116. #19151485	C₂²	semidirect
117. #19151482	C₂²	semidirect
118. #19151481	C₂²	semidirect
136. #19151476	C₂²	semidirect
137. #19151476	C₂²	semidirect
151. #19151472	C₂²	semidirect
152. #19151472	C₂²	semidirect
157. #19151469	C₂²	semidirect
158. #19151469	C₂²	semidirect
159. #19151469	C₂²	semidirect
162. #19151457	C₂²	semidirect
163. #19151457	C₂²	semidirect
164. #19151457	C₂²	semidirect
165. #19151457	C₂²	semidirect
172. #401×C₈₉	C₂²	semidirect
173. #400×C₈₉	C₂²	semidirect
174. #400×C₈₉	C₂²	semidirect
176. #395×C₈₉	C₂²	semidirect
178. #391×C₈₉	C₂²	semidirect
181. #387×C₈₉	C₂²	semidirect
182. #387×C₈₉	C₂²	semidirect
183. #387×C₈₉	C₂²	semidirect
824. #2745	D₈₉	semidirect
845. C₈₉	#36791	semidirect
869. #401	C₂×D₈₉	semidirect
876. #400	C₂×D₈₉	semidirect
877. #400	C₂×D₈₉	semidirect
896. #395	C₂×D₈₉	semidirect
919. #391	C₂×D₈₉	semidirect
942. #387	C₂×D₈₉	semidirect
943. #387	C₂×D₈₉	semidirect
944. #387	C₂×D₈₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
#26028545	2
#26028535	2
#26028196	2
#26028110	2
#26028004	2
#26027948	2
#26027899	2
#26027877	2
#26027511	2
#26027488	2
#26027046	2
#26026992	2
#26026976	2
#26026975	2
#26026787	2
#26026658	2
#26026618	2
#26026210	2
#26026184	2
#26024516	2
#26024371	2
#26023992	2
#26023927	2
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